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In recent years households in South Africa have experienced a large increase in electricity costs - NSC Mathematical Literacy - Question 1 - 2016 - Paper 2

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In recent years households in South Africa have experienced a large increase in electricity costs. Mr Chan would like to replace his electric stove with a gas stove.... show full transcript

Worked Solution & Example Answer:In recent years households in South Africa have experienced a large increase in electricity costs - NSC Mathematical Literacy - Question 1 - 2016 - Paper 2

Step 1

1.1.1 Calculate the total quotation amount for Option 1.

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Answer

To calculate the total quotation amount for Option 1, we sum the cost of the gas, the cost of piping, and the other associated charges from the quotation provided.

First, we calculate the subtotal:

  • Cost of gas: R2 983.86
  • Cost of piping: R394.74
  • Other costs: R180

Subtotal:

extSubtotal=R2983.86+R394.74+R180=R3558.60 ext{Subtotal} = R2 983.86 + R394.74 + R180 = R3 558.60

Next, we add the VAT (14%):

extVAT=0.14imesR3558.60=R497.20 ext{VAT} = 0.14 imes R3 558.60 = R497.20

Total quotation amount:

extTotal=R3558.60+R497.20=R4055.80 ext{Total} = R3 558.60 + R497.20 = R4 055.80

Step 2

1.1.2 Verify, showing ALL calculations, whether Mr Chan's estimation is valid.

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Answer

To verify Mr Chan's estimation, we first calculate the total quotation amount for Option 2 and find the difference between the two options.

Calculating Option 2:

  • Total cost of Option 2 = R3 499.00 + R499.00 + R189.00 = R4 187.00

Now, we find the difference between Option 1 and Option 2:

extDifference=R4187.00R4055.80=R131.20 ext{Difference} = R4 187.00 - R4 055.80 = R131.20

Mr Chan's estimation that the difference is less than R1 000.00 is valid, as R131.20 is indeed less than R1 000.00.

Step 3

1.1.3 Give ONE reason why Mr Chan may choose the more expensive option.

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Answer

Mr Chan may choose the more expensive option due to better service quality, such as warranty provisions, customer support offered by the supplier, or better installation services.

Step 4

1.3.1 Explain the impact of the tax rebate and the medical aid credits on the tax payable.

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Answer

The tax rebate directly reduces the amount of tax payable by decreasing the taxable income. This means the individual can retain more of their income after taxes.

Medical aid credits also reduce the tax payable by providing a deduction based on the contributions made to the medical aid scheme. This further lowers the effective tax rate, helping individuals save on their tax liabilities.

Step 5

1.3.2 Verify, showing ALL calculations, whether her calculation is valid.

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Answer

To verify the dealer's claim, we start with her taxable income of R742,000 for the tax year:

Calculating the tax payable using the tax brackets:

  • For the first R700,000: R208,587 plus 41% of the amount exceeding R700,000.

Calculating additional tax for the amount over R700,000:

extAdditionalTax=R742,000R700,000=R42,000 ext{Additional Tax} = R742,000 - R700,000 = R42,000 extTax=R208,587+0.41imesR42,000=R208,587+R17,220=R225,807 ext{Tax} = R208,587 + 0.41 imes R42,000 = R208,587 + R17,220 = R225,807

For the next tax year, she stated an increase of R150: extTotalTaxfor2015/2016=R225,807+R150=R225,957 ext{Total Tax for 2015/2016} = R225,807 + R150 = R225,957

Thus, her calculation is not valid as the increase appears unreasonable for a R150 increment if calculated accurately.

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